The parameter space favourable for the muon \(g\)\(-\) 2 in type X models is quite limited in mass ranges for the heavy neutral and charged scalar: \(M_H \sim M_{H^\pm } \lesssim 200\)  GeV (with small \(M_A\)  and large \(\tan \! \beta \) ). These bosons can be searched for in forthcoming collider experiments, even if this parameter region could be elusive because the productions of the additional Higgs bosons \(A, H\) , and \(H^\pm \)  are suppressed either by \(1/\tan ^2\beta \)  (in single productions, e.g. through gluon fusion) or by \(\cos (\beta -\alpha )\)  (associated productions of \(V\phi \)  and \(h\phi \) ). The leading search channels for the extra bosons would then be pair or associated productions through \(pp \rightarrow \gamma /Z/W \rightarrow H^+ H^-/HA/H^\pm A/H^\pm H\)  followed by the decays \(H^\pm \rightarrow l^\pm \nu \)  and \(A,H\rightarrow l^+ l^-\) , which can be readily tested at the next run of the LHC [1]}, [2]}.
